Flow THROUGH a standard radiator is what produces the cooling.
If air is moving fast and for aero reasons you want to do that then you want less fins, easier airflow through the rad.
IF space is the issue then you need to INCREASE the cooling efficiency and for the same size of radiator then you have to increase the surface area of air/fins and that (sadly) then usually leads to more restrictive air flow .... which then AGAIN affects the cooling. Their is a nasty feedback loop in the design stage present.
To "try" to answer ...
1 - yes. Optimal cooling is with air moving perpendicular to the rad, parallel to the fins.
2a - yes. THe more air you can get in contact with the radiator surface then then better the cooling. BUT the heat transfer may not be effective at lower speeds.
2b - yes. The LONGER you can keep cold air in contact with the radiator surface then then better the cooling. But it may stall at lower speeds and reduce cooling.
2c - yes. IF you push the same air through. no, if the thickness reduces the airflow and you get LESS air through
2d - less than double. Too many variables. Radiator SURFACE area is the key design consideration. You can always add fan to prevent stall and keep the volume up and you can always make them deeper if size constraints -- with a stronger/multiple fans.
2e - formula B designers and drivers will show what they run. Find the one getting the fastest times and copy him/her. A good starting point Actually the BEST starting point !
On the tech info, unless you have MAJOR funds, then you start at the radiator manufacturers and look at their air flow (cfm ) and temperature drop (deg C) and water flow rates and see which one(s) then fit in your packaging. Then you have to do LOTS of number crunching to understand the issues present in each. and you wil need to know a LOT about the airflow of the chassis/body you are running as at extremes you can have a significant impact.
You got some links for "Formula B" ? If it's similar to any of the normal formulas I may have some names/suggestions.
"A woman without curves is like a road without bends, you might get to your destination quicker but the ride is boring as hell'